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You have 54,544 grams of a radioactive kind of iodine. How much will be left after 106 minutes if its half-life is 53 minutes?

Question

You have 54,544 grams of a radioactive kind of iodine. How much will be left after 106 minutes if its half-life is 53 minutes?

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Solution

Sure, here's how you can calculate it:

  1. First, you need to determine how many half-lives have passed in 106 minutes. Since the half-life of this radioactive iodine is 53 minutes, you would divide 106 by 53. This gives you 2 half-lives.

  2. Next, you need to calculate how much of the iodine will be left after each half-life. After one half-life, half of the original amount will be left. So, after the first half-life, you would have 54,544 / 2 = 27,272 grams of iodine left.

  3. After the second half-life, you would have half of the remaining amount left. So, you would have 27,272 / 2 = 13,636 grams of iodine left.

So, after 106 minutes, you would have 13,636 grams of the radioactive iodine left.

This problem has been solved

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